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lutik1710 [3]
3 years ago
5

What is the solution to the following system of equations? y = −x^2 − 5x − 4 y = −x^2 + 9x − 18

Mathematics
1 answer:
nika2105 [10]3 years ago
4 0

Answer:

X=1   Y= -10

Step-by-step explanation:

Y=-x^{2} -5x-4 equation 1 \\Y=-x^{2} + 9x-18 equation 2

using equation 1, we substitute in equation 2

We have

-x^{2} -5x-4 = -x^{2} + 9x-18\\-14x=-14\\x=1\\

so, we substitute the X value in equation2

we have>

y=-(1^{2})+ 9(1)-18)=-10\\y=-10

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In Exercises 26 and 27 write an equation of the line with the given slope and y-intercept.
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27. y= -10
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What the value of r that makes the value true? r+(-0.14)=0.47
siniylev [52]

r+(-0.14)=0.47\\\\r-0.14=0.47\qquad|\text{add 0.14 to both sides}\\\\r-0.14+0.14=0.47+0.14\\\\r=0.61

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The label on the car's antifreeze container claims to protect the car between −40°C and 125°C. To covert Celsius temperature to
Solnce55 [7]

Answer:

see below

Step-by-step explanation:

The label on the car's antifreeze container claims to protect the car between -40°C and 125°C.

So inequality which models this situation will be -40°C < T < 125°C

Now we have to show this inequality in Fahrenheit temperature with the help of C=\frac{5}{9} (F-32)

So the compound inequality in Fahrenheit temperature will be

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Find the net price if the $10.00 list price is discounted 10%.
yanalaym [24]

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Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
For every 5 pages in a book Fred reads, Lonnie reads 4 pages. In 1 hour, they read a combined total of 36 pages. How many pages
nydimaria [60]

Answer:

Hence the number of pages read by Lonnie is 16 pages when they read a combined of 36 pages.

Step-by-step explanation:

The table that can be formed by the rate at which they study the number of pages of a book is:

Fred     Lonnie       total

 5           4                9

 10          8               18

 15          12              27

 20         16              36

That means when they read a combined of 36 pages.

Then the number of pages read by Fred is 20 pages.

and the number of pages read by Lonnie is 16 pages.

(

Also it could be done as :

Let Fred reads 'x' pages.

so, the number of pages read by Lonnie is: (4/5)x

Hence,

x+(4/5)x=36

on solving this linear equation we have:

x=20

and (4/5)x=16

)

Hence the number of pages read by Lonnie is 16 pages when they read a combined of 36 pages.

3 0
3 years ago
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